He's variational iteration method with orthogonal polynomials

Abstract

The He's varational iteration method (VIM) depend on solving integration at each iterations, some times the integration is very difficult to overcome this difficulty, the orthogonal polynomials will be used. Test problems are discussed for comparison between VIM and Adomian Decomposition method (ADM) for different orthogonal polynomials M. M. Hosseini (2006).